Section $15\mathrm{.}2$ Bearing Capacity

$15\mathrm{.}4$ The bearing wall of a structure is to be supported on a $3-$ft wide continuous footing founded at a depth of $2\mathrm{.}5$ ft in a clayey sand with $c^{\text{'}}=100l\frac{b}{f}{t}^2,{}^{\text{'}}=27,$ and $=118l\frac{b}{f}{t}^3.$ Compute the allowable wall load if a factor of safety of $2\mathrm{.}5$ is required.

$15\mathrm{.}5$ A proposed column is to be supported by a $1\mathrm{.}5-m$ wide, $0\mathrm{.}5-m$ deep square footing. The soil beneath this footing is a silty sand with $c^{\text{'}}=0,{}^{\text{'}}=29,$ and $=18\mathrm{.}0k\frac{N}{m^3}.$ The groundwater table is at a depth of $10$ m below the ground surface. The factor of safety against a bearing capacity failure must be at least $2\mathrm{.}75.$ Compute the maximum allowable column load.

$15\mathrm{.}6$ You are reviewing the footing design for a hospital founded on clay soils. The controlling column load is $130$ k $.$ The proposed footing is square with a width of $7$ ft $.$ It is founded at a depth of $3$ ft in a medium to stiff clay with $s_u=1100l\frac{b}{f}{t}^2$ and $=127l\frac{b}{f}{t}^3.$ The groundwater table is at a depth of $2$ ft $.$ Is this design acceptable? Explain.